Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math

Topic: Matheology § 300
Replies: 63   Last Post: Jul 18, 2013 2:23 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
LudovicoVan

Posts: 3,206
From: London
Registered: 2/8/08
Re: Matheology § 300
Posted: Jul 13, 2013 10:40 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

"Zeit Geist" <tucsondrew@me.com> wrote in message
news:41be4197-cc38-420f-a4ed-b90e196ddc2b@googlegroups.com...
> On Friday, July 12, 2013 1:41:31 PM UTC-7, muec...@rz.fh-augsburg.de
> wrote:

>> On Friday, 12 July 2013 19:13:19 UTC+2, Zeit Geist wrote:
>>

>> > It is rather silly to expect the process that creates each of the
>> > Naturals would produce the set of all Naturals, as that set is,
>> > itself, not a Natural.

>>
>> Each natural belongs to a finite initial segment. None of them
>> requires a number that is larger than every natural number. In
>> fact the contrary. If you do not talk about the set, then there is
>> no reason to talk about alephs.

>
> Yes, but for every Natural there is a larger natural, hence the number
> of Naturals is larger than any Natural.


Since the number of natural numbers is not itself a natural number, that is
a non-sequitur, despite standardly the conclusive statement is correct:
indeed, a fallacy of relevance. Plus, the standard here is in question, so
one should rather qualify statements as well as objections (not that WM ever
does it, of course).

> Why wouldn't I talk about the set of Naturals?

That there is no such thing as a _set_ N (i.e. a finite-inductive set, an
"unfinished set") is a thesis of *strict finitism* already:
<http://en.wikipedia.org/wiki/Finitism#Classical_finitism_vs._strict_finitism>

Julio




Date Subject Author
7/13/13
Read Re: Matheology § 300
LudovicoVan
7/13/13
Read Re: Matheology § 300
Tucsondrew@me.com
7/13/13
Read Re: Matheology § 300
LudovicoVan
7/13/13
Read Re: Matheology § 300
Tucsondrew@me.com
7/13/13
Read Re: Matheology § 300
LudovicoVan
7/13/13
Read Re: Matheology � 300
Virgil
7/13/13
Read Re: Matheology § 300
LudovicoVan
7/13/13
Read Re: Matheology � 300
Virgil
7/13/13
Read Re: Matheology � 300
Virgil
7/13/13
Read Re: Matheology § 300
LudovicoVan
7/13/13
Read Re: Matheology � 300
Virgil
7/13/13
Read Re: Matheology � 300
Virgil
7/13/13
Read Re: Matheology § 300
LudovicoVan
7/13/13
Read Re: Matheology � 300
Virgil
7/13/13
Read Re: Matheology � 300
Virgil
7/13/13
Read Re: Matheology § 300
LudovicoVan
7/13/13
Read Re: Matheology � 300
Virgil
7/15/13
Read Re: Matheology § 300
albrecht
7/15/13
Read Re: Matheology � 300
Virgil
7/15/13
Read Re: Matheology § 300
mueckenh@rz.fh-augsburg.de
7/15/13
Read Re: Matheology � 300
Virgil
7/15/13
Read Re: Matheology � 300
Virgil
7/16/13
Read Re: Matheology � 300
Virgil
7/16/13
Read Re: Matheology § 300
albrecht
7/16/13
Read Re: Matheology � 300
Virgil
7/16/13
Read Re: Matheology § 300
LudovicoVan
7/16/13
Read Re: Matheology � 300
Virgil
7/16/13
Read Re: Matheology § 300
LudovicoVan
7/16/13
Read Re: Matheology � 300
Virgil
7/17/13
Read Re: Matheology � 300
Virgil
7/17/13
Read Re: Matheology � 300
Virgil
7/17/13
Read Re: Matheology � 300
Ralf Bader
7/17/13
Read Re: Matheology �Organization: Anon
Virgil
7/17/13
Read Re: Matheology �Organization: Anon
Tanu R.
7/18/13
Read Re: Matheology � 300
Virgil
7/17/13
Read Re: Matheology § 300
albrecht
7/17/13
Read Re: Matheology � 300
Virgil
7/17/13
Read Re: Matheology § 300
mueckenh@rz.fh-augsburg.de
7/17/13
Read Re: Matheology � 300
Virgil
7/17/13
Read Re: Matheology � 300
Virgil
7/17/13
Read Re: Matheology � 300
Virgil
7/16/13
Read Re: Matheology § 300
fom
7/15/13
Read Re: Matheology � 300
Virgil
7/15/13
Read Re: Matheology § 300
fom
7/13/13
Read Re: Matheology � 300
Virgil
7/13/13
Read Re: Matheology § 300
LudovicoVan
7/13/13
Read Re: Matheology � 300
Virgil
7/14/13
Read Re: Matheology � 300
Virgil
7/14/13
Read Re: WMytheology � 300
Virgil
7/15/13
Read Re: WMytheology � 300
Virgil
7/15/13
Read Re: Matheology � 300
Virgil

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.